To find the missing exponent in the equation \( E^{65} = E^{38} \), we can equate the exponents since the bases (E in this case) are the same:
\( 65 = 38 \)
Since this statement is not true, we need to assume you meant to find the exponent that would allow both sides to be equal under the same base.
If both sides are equal for the same base \( E \), we can conclude that:
- The left side has the exponent 65, and
- The right side has the exponent 38.
If the equation is meant to involve multiplying or dividing exponents, please clarify. If you meant that \( E^x = E^{65} \) and \( E^y = E^{38} \) and you want to solve for \( x \) and \( y \), then:
- \( x = 65 \)
- \( y = 38 \)
Let me know if you meant something different or if there are additional details!
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